%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT268-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:02 AM UTC 2026 % Result : Unsatisfiable 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT268-10 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 06:07:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.36 % SZS status Unsatisfiable % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.c_Tarski_Opotype_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.c_Tarski_Opotype_Opset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 0.16/0.36 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.c_Tarski_Olub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.true $$unsorted) % 0.16/0.36 (declare-const tptp.v_r $$unsorted) % 0.16/0.36 (declare-const tptp.c_Tarski_OCompleteLattice $$unsorted) % 0.16/0.36 (declare-const tptp.t_a $$unsorted) % 0.16/0.36 (declare-const tptp.v_cl $$unsorted) % 0.16/0.36 (declare-const tptp.c_Tarski_OPartialOrder $$unsorted) % 0.16/0.36 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.c_Tarski_Odual (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.v_A $$unsorted) % 0.16/0.36 (declare-const tptp.v_S $$unsorted) % 0.16/0.36 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.v_x $$unsorted) % 0.16/0.36 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.c_Tarski_Oglb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.36 (define @t2 () (@var "C" $$unsorted)) % 0.16/0.36 (define @t3 () (@var "A" $$unsorted)) % 0.16/0.36 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.16/0.36 (define @t5 () (@list @t3 @t1 @t2)) % 0.16/0.36 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.16/0.36 (define @t7 () (tptp.tc_set tptp.t_a)) % 0.16/0.36 (define @t8 () (tptp.c_in tptp.v_x tptp.v_S tptp.t_a)) % 0.16/0.36 (define @t9 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.16/0.36 (define @t10 () (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a)) % 0.16/0.36 (define @t11 () (tptp.c_Pair @t10 tptp.v_x tptp.t_a tptp.t_a)) % 0.16/0.36 (define @t12 () (@var "T_a" $$unsorted)) % 0.16/0.36 (define @t13 () (tptp.tc_prod @t12 @t12)) % 0.16/0.36 (define @t14 () (@var "V_cl" $$unsorted)) % 0.16/0.36 (define @t15 () (tptp.c_Tarski_Opotype_Oorder @t14 @t12 tptp.tc_Product__Type_Ounit)) % 0.16/0.36 (define @t16 () (@var "V_S" $$unsorted)) % 0.16/0.36 (define @t17 () (@var "V_x" $$unsorted)) % 0.16/0.36 (define @t18 () (tptp.tc_Tarski_Opotype_Opotype__ext__type @t12 tptp.tc_Product__Type_Ounit)) % 0.16/0.36 (define @t19 () (tptp.c_Tarski_Opotype_Opset @t14 @t12 tptp.tc_Product__Type_Ounit)) % 0.16/0.36 (define @t20 () (tptp.ifeq (tptp.c_lessequals @t16 @t19 (tptp.tc_set @t12)) tptp.true (tptp.ifeq (tptp.c_in @t14 tptp.c_Tarski_OCompleteLattice @t18) tptp.true (tptp.ifeq (tptp.c_in @t14 tptp.c_Tarski_OPartialOrder @t18) tptp.true (tptp.ifeq (tptp.c_in @t17 @t16 @t12) tptp.true (tptp.c_in (tptp.c_Pair @t17 (tptp.c_Tarski_Olub @t16 @t14 @t12) @t12 @t12) @t15 @t13) tptp.true) tptp.true) tptp.true) tptp.true)) % 0.16/0.36 (define @t21 () (forall (@list @t16 @t14 @t12 @t17) (= @t20 tptp.true))) % 0.16/0.36 (define @t22 () (@var "V_y" $$unsorted)) % 0.16/0.36 (define @t23 () (tptp.c_Tarski_Odual @t14 @t12)) % 0.16/0.36 (define @t24 () (tptp.ifeq (tptp.c_in (tptp.c_Pair @t17 @t22 @t12 @t12) (tptp.c_Tarski_Opotype_Oorder @t23 @t12 tptp.tc_Product__Type_Ounit) @t13) tptp.true (tptp.c_in (tptp.c_Pair @t22 @t17 @t12 @t12) @t15 @t13) tptp.true)) % 0.16/0.36 (define @t25 () (forall (@list @t17 @t22 @t12 @t14) (= @t24 tptp.true))) % 0.16/0.36 (define @t26 () (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.16/0.36 (define @t27 () (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a)) % 0.16/0.36 (define @t28 () (tptp.c_in @t27 tptp.c_Tarski_OCompleteLattice @t26)) % 0.16/0.36 (define @t29 () (tptp.c_in @t27 tptp.c_Tarski_OPartialOrder @t26)) % 0.16/0.36 (define @t30 () (tptp.c_Tarski_Opotype_Opset @t23 @t12 tptp.tc_Product__Type_Ounit)) % 0.16/0.36 (define @t31 () (forall (@list @t14 @t12) (= @t30 @t19))) % 0.16/0.36 (define @t32 () (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.16/0.36 (define @t33 () (tptp.c_in @t11 @t32 @t9)) % 0.16/0.36 (define @t34 () (tptp.ifeq tptp.true tptp.true @t33 tptp.true)) % 0.16/0.36 (define @t35 () (= @t33 @t34)) % 0.16/0.36 (define @t36 () (= @t34 @t33)) % 0.16/0.36 (define @t37 () (tptp.c_Tarski_Opotype_Oorder @t27 tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.16/0.36 (define @t38 () (tptp.c_Pair tptp.v_x (tptp.c_Tarski_Olub tptp.v_S @t27 tptp.t_a) tptp.t_a tptp.t_a)) % 0.16/0.36 (define @t39 () (tptp.c_in @t38 @t37 @t9)) % 0.16/0.36 (define @t40 () (tptp.ifeq @t8 tptp.true @t39 tptp.true)) % 0.16/0.36 (define @t41 () (tptp.ifeq @t29 tptp.true @t40 tptp.true)) % 0.16/0.36 (define @t42 () (tptp.ifeq @t28 tptp.true @t41 tptp.true)) % 0.16/0.36 (define @t43 () (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset @t27 tptp.t_a tptp.tc_Product__Type_Ounit) @t7)) % 0.16/0.36 (define @t44 () (forall @t5 (= @t1 @t4))) % 0.16/0.36 (assume @p1 @t6) % 0.16/0.36 (assume @p2 (= (tptp.c_lessequals tptp.v_S tptp.v_A @t7) tptp.true)) % 0.16/0.36 (assume @p3 (= @t8 tptp.true)) % 0.16/0.36 (assume @p4 (not (= (tptp.c_in @t11 tptp.v_r @t9) tptp.true))) % 0.16/0.36 (assume @p5 (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) % 0.16/0.36 (assume @p6 @t21) % 0.16/0.36 (assume @p7 @t25) % 0.16/0.36 (assume @p8 (= @t28 tptp.true)) % 0.16/0.36 (assume @p9 (= @t29 tptp.true)) % 0.16/0.36 (assume @p10 (forall (@list @t16 @t14 @t12) (= (tptp.c_Tarski_Oglb @t16 @t14 @t12) (tptp.c_Tarski_Olub @t16 @t23 @t12)))) % 0.16/0.36 (assume @p11 @t31) % 0.16/0.36 (assume @p12 (= tptp.v_r @t32)) % 0.16/0.36 (step @p13 :rule eq-symm :args (@t4 @t1)) % 0.16/0.36 (step @p14 :rule cong :premises (@p13) :args (@t6)) % 0.16/0.36 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.16/0.36 (step @p16 :rule bool-eq-false :args (@t35)) % 0.16/0.36 (step @p17 :rule symm :premises (@p16)) % 0.16/0.36 (step @p18 :rule eq-symm :args (@t34 @t33)) % 0.16/0.36 (step @p19 :rule cong :premises (@p18) :args ((not @t36))) % 0.16/0.36 (step @p20 :rule bool-eq-false :args (@t36)) % 0.16/0.36 (step @p21 :rule trans :premises (@p20 @p19)) % 0.16/0.36 (step @p22 :rule trans :premises (@p21 @p17)) % 0.16/0.36 (step @p23 :rule symm :premises (@p4)) % 0.16/0.36 (step @p24 :rule false_intro :premises (@p23)) % 0.16/0.36 (step @p25 :rule refl :args (@t9)) % 0.16/0.36 (step @p26 :rule symm :premises (@p12)) % 0.16/0.36 (step @p27 :rule refl :args (@t11)) % 0.16/0.36 (step @p28 :rule cong :premises (@p27 @p26 @p25) :args (@t33)) % 0.16/0.36 (step @p29 :rule eq-symm :args (@t24 tptp.true)) % 0.16/0.36 (step @p30 :rule cong :premises (@p29) :args (@t25)) % 0.16/0.36 (step @p31 :rule eq_resolve :premises (@p7 @p30)) % 0.16/0.36 (step @p32 :rule instantiate :premises (@p31) :args ((@list tptp.v_x @t10 tptp.t_a tptp.v_cl))) % 0.16/0.36 (step @p33 :rule symm :premises (@p32)) % 0.16/0.36 (step @p34 :rule refl :args (tptp.true)) % 0.16/0.36 (step @p35 :rule refl :args (@t33)) % 0.16/0.36 (step @p36 :rule refl :args (@t37)) % 0.16/0.36 (step @p37 :rule refl :args (tptp.t_a)) % 0.16/0.36 (step @p38 :rule instantiate :premises (@p10) :args ((@list tptp.v_S tptp.v_cl tptp.t_a))) % 0.16/0.36 (step @p39 :rule symm :premises (@p38)) % 0.16/0.36 (step @p40 :rule refl :args (tptp.v_x)) % 0.16/0.36 (step @p41 :rule cong :premises (@p40 @p39 @p37 @p37) :args (@t38)) % 0.16/0.36 (step @p42 :rule cong :premises (@p41 @p36 @p25) :args (@t39)) % 0.16/0.36 (step @p43 :rule instantiate :premises (@p15) :args ((@list tptp.true @t39 tptp.true))) % 0.16/0.36 (step @p44 :rule symm :premises (@p43)) % 0.16/0.36 (step @p45 :rule refl :args (@t39)) % 0.16/0.36 (step @p46 :rule cong :premises (@p3 @p34 @p45 @p34) :args (@t40)) % 0.16/0.36 (step @p47 :rule trans :premises (@p46 @p44)) % 0.16/0.36 (step @p48 :rule cong :premises (@p34 @p34 @p47 @p34) :args ((tptp.ifeq tptp.true tptp.true @t40 tptp.true))) % 0.16/0.36 (step @p49 :rule symm :premises (@p47)) % 0.16/0.36 (step @p50 :rule refl :args (@t40)) % 0.16/0.36 (step @p51 :rule cong :premises (@p9 @p34 @p50 @p34) :args (@t41)) % 0.16/0.36 (step @p52 :rule trans :premises (@p51 @p48 @p44)) % 0.16/0.36 (step @p53 :rule trans :premises (@p52 @p49)) % 0.16/0.36 (step @p54 :rule cong :premises (@p34 @p34 @p53 @p34) :args ((tptp.ifeq tptp.true tptp.true @t41 tptp.true))) % 0.16/0.36 (step @p55 :rule refl :args (@t41)) % 0.16/0.36 (step @p56 :rule cong :premises (@p8 @p34 @p55 @p34) :args (@t42)) % 0.16/0.36 (step @p57 :rule trans :premises (@p56 @p54 @p48 @p44)) % 0.16/0.36 (step @p58 :rule trans :premises (@p57 @p49)) % 0.16/0.36 (step @p59 :rule cong :premises (@p34 @p34 @p58 @p34) :args ((tptp.ifeq tptp.true tptp.true @t42 tptp.true))) % 0.16/0.36 (step @p60 :rule refl :args (@t42)) % 0.16/0.36 (step @p61 :rule symm :premises (@p3)) % 0.16/0.36 (step @p62 :rule refl :args (@t7)) % 0.16/0.36 (step @p63 :rule symm :premises (@p5)) % 0.16/0.36 (step @p64 :rule eq-symm :args (@t30 @t19)) % 0.16/0.36 (step @p65 :rule cong :premises (@p64) :args (@t31)) % 0.16/0.36 (step @p66 :rule eq_resolve :premises (@p11 @p65)) % 0.16/0.36 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.v_cl tptp.t_a))) % 0.16/0.36 (step @p68 :rule symm :premises (@p67)) % 0.16/0.36 (step @p69 :rule trans :premises (@p68 @p63)) % 0.16/0.36 (step @p70 :rule refl :args (tptp.v_S)) % 0.16/0.36 (step @p71 :rule cong :premises (@p70 @p69 @p62) :args (@t43)) % 0.16/0.36 (step @p72 :rule trans :premises (@p71 @p2 @p61)) % 0.16/0.36 (step @p73 :rule trans :premises (@p72 @p3)) % 0.16/0.36 (step @p74 :rule cong :premises (@p73 @p34 @p60 @p34) :args ((tptp.ifeq @t43 tptp.true @t42 tptp.true))) % 0.16/0.36 (step @p75 :rule eq-symm :args (@t20 tptp.true)) % 0.16/0.36 (step @p76 :rule cong :premises (@p75) :args (@t21)) % 0.16/0.36 (step @p77 :rule eq_resolve :premises (@p6 @p76)) % 0.16/0.36 (step @p78 :rule instantiate :premises (@p77) :args ((@list tptp.v_S @t27 tptp.t_a tptp.v_x))) % 0.16/0.36 (step @p79 :rule trans :premises (@p3 @p78 @p74 @p59 @p48 @p44 @p42)) % 0.16/0.36 (step @p80 :rule trans :premises (@p61 @p79)) % 0.16/0.36 (step @p81 :rule cong :premises (@p80 @p34 @p35 @p34) :args (@t34)) % 0.16/0.36 (step @p82 :rule trans :premises (@p81 @p33)) % 0.16/0.36 (step @p83 :rule cong :premises (@p82 @p28) :args (@t36)) % 0.16/0.36 (step @p84 :rule trans :premises (@p83 @p24)) % 0.16/0.36 (step @p85 :rule eq_resolve :premises (@p84 @p22)) % 0.16/0.36 (step @p86 :rule false_elim :premises (@p85)) % 0.16/0.36 (assume-push @p93 @t44) % 0.16/0.36 (step @p88 :rule instantiate :premises (@p15) :args ((@list tptp.true @t33 tptp.true))) % 0.16/0.36 (step-pop @p94 :rule scope :premises (@p88)) % 0.16/0.36 (step @p89 :rule process_scope :premises (@p94) :args (@t35)) % 0.16/0.36 (step @p91 :rule implies_elim :premises (@p89)) % 0.16/0.36 (step @p92 false :rule chain_m_resolution :premises (@p91 @p86 @p15) :args (false (@list true false) (@list @t35 @t44))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting %------------------------------------------------------------------------------